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Finding the Fourth Proportional to 199,506, 275,324.04 and 110,087.76

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Solution

The fourth proportional to 199,506, 275,324.04 and 110,087.76 is: 151,924.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,506 : 275,324.04 = 110,087.76 : x
  2. Step 2: Convert to fraction form
    199,506/275,324.04 = 110,087.76/x
  3. Step 3: Cross multiply
    199,506x = 275,324.04 × 110,087.76
  4. Step 4: Simplify right side
    199,506x = 30,309,806,837.75
  5. Step 5: Solve for x
    x = 30,309,806,837.75/199,506
  6. Step 6: Final answer
    x = 151,924.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.